虚实边界元方法计算比较

Comparison of Virtual BEM and Traditional BEM

基于单层位势的传统边界元方法是以实边界上的密度函数为未知量,虚边界元方法是以虚拟边界上的虚拟密度函数为未知量。对这2种方法在求解位势问题(主要是无限域上外边值问题)过程中产生的一系列物理量及密度函数进行比较,分析了虚边界元方法和传统边界元方法求解结果的一致性,并用数值算例进行验证。

The traditional BEM takes the density function on the real boundary for unknown quantity,while the virtual BEM takes the virtual density function on virtual boundary for unknown quantity.This paper compares these density functions and series of physical quantities produced in the solving process in these two method.The consistencies of numerical results are verified by several numerical examples.